101001102101 has 4 divisors (see below), whose sum is σ = 106316949600. Its totient is φ = 95685254604.

The previous prime is 101001102073. The next prime is 101001102107. The reversal of 101001102101 is 101201100101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001102101 is a prime.

It is a super-2 number, since 2×101001102101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001102107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2657923721 + ... + 2657923758.

It is an arithmetic number, because the mean of its divisors is an integer number (26579237400).

Almost surely, 2^101001102101 is an apocalyptic number.

It is an amenable number.

101001102101 is a deficient number, since it is larger than the sum of its proper divisors (5315847499).

101001102101 is an equidigital number, since it uses as much as digits as its factorization.

101001102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315847498.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101001102101 its reverse (101201100101), we get a palindrome (202202202202).

The spelling of 101001102101 in words is "one hundred one billion, one million, one hundred two thousand, one hundred one".